There is the "I don't (have to) give a fuck" counter-signaling. But also what about people that really don't care too much, out of ignorance even, or just fatigue.
Sure there is intentionality in there, but do we really call that _counter-signaling_?
That’s why there are entire books based on the joke that you can’t tell a homeless guy from a hippie with a trust fund.
They can try it and sometimes it works, but generally it's hard to imitate well. You have to not give a fuck about the right things. The imitators who just don't give a fuck about anything will stumble on something genuinely important.
Like the cool guy at school who doesn't give a fuck about what the teachers say will have to give a fuck about his friends and the community around him, to the skills that he gets his coolness from to preserve his status.
A boss who sends informal messages should still give a fuck about the overall state of the team, on being timely to respond to actually important matters even if just giving a quick ok sent from my iPhone.
The countersignaling is more about "I care about/provide more important things that are more valuable or impactful for you than getting caught up in bullshit insignificant superficial matters"